import saveto
from math import log
from math import factorial
primes = tuple(saveto.load('primes'))
print('Made tuple')
def factor(c):
    output = {}
    if c in primes:
            output = {c:1}
    else:
        n = c
        count_0 = 0
        while n != 1:
            while n%primes[count_0] != 0:
                count_0 += 1
            b = primes[count_0]
            p = round(log(n,b))
            while n%(b**p) != 0:
                p -= 1
            n /= b**p
            count_0 += 1
            if p > 0:
                output[b] = int(p)
    return output
##output = [{0:1},{1:1}]
##for i in range(2,30):
##    output.append(factor(i))
##    if i%1000 == 0:
##        print(i)
##print(output)
##print('{:,}'.format(primes[-1]))